National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $40 for each model A and $35 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit?

Question

(x,y)= ( )
What is the optimal profit? $_______.

Answer 1

maximize p = 40x+35y subject to
x+y <= 2500
100x + 150y <= 600000

Now graph those lines along with the x- and y-axes, to find the vertices of the region. p will achieve its maximum at one of those vertices.

Answer 2

Alljh